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Finding the Fourth Proportional to 115,838, 159,856.44 and 62,846

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Solution

The fourth proportional to 115,838, 159,856.44 and 62,846 is: 86,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,838 : 159,856.44 = 62,846 : x
  2. Step 2: Convert to fraction form
    115,838/159,856.44 = 62,846/x
  3. Step 3: Cross multiply
    115,838x = 159,856.44 × 62,846
  4. Step 4: Simplify right side
    115,838x = 10,046,337,828.24
  5. Step 5: Solve for x
    x = 10,046,337,828.24/115,838
  6. Step 6: Final answer
    x = 86,727.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.